Localized States in Physics: Solitons and Patterns

  • Orazio Descalzi
  • Marcel Clerc
  • Stefania Residori
  • Gaetano Assanto

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Solitons, self-confined light and optical turbulence

    1. Front Matter
      Pages 1-1
    2. Miroslaw A. Karpierz, Gaetano Assanto
      Pages 3-16
    3. Richard S. Tasgal, Roman Shnaiderman, Yehuda B. Band
      Pages 41-66
    4. Jason Laurie, Umberto Bortolozzo, Sergey Nazarenko, Stefania Residori
      Pages 67-87
  3. Localized structures in pattern forming systems

    1. Front Matter
      Pages 89-89
    2. Umberto Bortolozzo, Marcel G. Clerc, René G. Rojas, Florence Haudin, Stefania Residori
      Pages 91-108
    3. Arantxa Alonso, Oriol Batiste, Edgar Knobloch, Isabel Mercader
      Pages 109-125
  4. Localized structures for optical applications

    1. Front Matter
      Pages 139-139
    2. Massimo Giudici, Francesco Pedaci, Emilie Caboche, Patrice Genevet, Stephane Barland, Jorge Tredicce et al.
      Pages 141-167
    3. Patrice Genevet, Stéphane Barland, Massimo Giudici, Jorge R. Tredicce
      Pages 169-186
    4. Giovanna Tissoni, Keivan M. Aghdami, Franco Prati, Massimo Brambilla, Luigi A. Lugiato
      Pages 187-211
    5. Mousa Ayoub, Björn Gütlich, Cornelia Denz, Francesco Papoff, Gian-Luca Oppo, William J. Firth
      Pages 213-238
  5. Excitability and localized states

    1. Front Matter
      Pages 239-239
    2. Damià Gomila, Adrián Jacobo, Manuel A. Matías, Pere Colet
      Pages 241-264
    3. Jaime E. Cisternas, Thomas M. Wasylenko, Ioannis G. Kevrekidis
      Pages 265-281
  6. Back Matter
    Pages 283-286

About this book

Introduction

Systems driven far from thermodynamic equilibrium can create dissipative structures through the spontaneous breaking of symmetries. A particularly fascinating feature of these pattern-forming systems is their tendency to produce spatially confined states. These localized wave packets can exist as propagating entities through space and/or time. Various examples of such systems will be dealt with in this book, including localized states in fluids, chemical reactions on surfaces, neural networks, optical systems, granular systems, population models, and Bose-Einstein condensates.This book should appeal to all physicists, mathematicians and electrical engineers interested in localization in far-from-equilibrium systems. The authors - all recognized experts in their fields - strive to achieve a balance between theoretical and experimental considerations thereby giving an overview of fascinating physical principles, their manifestations in diverse systems, and the novel technical applications on the horizon.

Keywords

localized structures nonlinear dynamics pattern formation shock-waves solitons and nonlinear optics spatio-temporal instabilities

Editors and affiliations

  • Orazio Descalzi
    • 1
  • Marcel Clerc
    • 2
  • Stefania Residori
    • 3
  • Gaetano Assanto
    • 4
  1. 1.Facultad de IngenieríaUniversidad de los AndesSantiagoChile
  2. 2.Fac. Ciencias Físicas y Matemáticas, Depto. FísicaUniversidad de ChileSantiagoChile
  3. 3.Institut Non-linéaire de NiceValbonneFrance
  4. 4.Dipto. Ingegneria ElettronicaUniversità di Roma TreRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-16549-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-16548-1
  • Online ISBN 978-3-642-16549-8
  • About this book